MATHEMATICS KNOWLEDGE ASVAB, AVSAB

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MATHEMATICS KNOWLEDGE ASVAB, AVSAB

MATHEMATICS KNOWLEDGE EXAM QUESTIONS

Actual Qs and Ans - Expert-Verified Explanation -Guaranteed passing score -67 Questions and Answers

-Format: Multiple-choice / Flashcard

Question 1: The angle shown here is a(n)

a.)complementary angle b.)supplementary angle c.)acute angle d.)obtuse angle

Answer:

d.)obtuse angle

Question 2: How many distinct prime factors are there in 120?

• 2
• 3
• 4
• 5

Answer:

• 3

• Prime factors of 120 are 2 × 2 × 2 × 3 ×
• Distinct factors are 2, 3, and
• Therefore, there are three distinct prime factors.

Question 3: What is the area of the figure shown?

• 130 ft2
• 145 ft2
• 160 ft2
• 175 ft2

Answer:

• 145 ft2

• Divide the figure into a rectangle and triangle as shown. The area of the figure equals the area of the

rectangle plus the area of the triangle. The rectangle = length × width or 10 × 13 = 130 ft2; the triangle = ? base × height or ? ?. Together, the area is 130 + 15 = 145 ft2.Question 4: Which expression represents the volume of a cylinder whose height is equivalent to the length of the radius?

• pr2
• pr3
• (pr)2
• (pr)3

Answer:

• pr3

• The volume of a cylinder is given by the formula V = pr2h, where r is the radius of the circular base

and h is the height. Since h = r, V = pr2r = pr3.

Question 5: Evaluate 3x + 7 when x = -3.

• -2
• 10
• 16
• 30

Answer:

• -2

• Substitute -3 for x. Then 3(-3) + 7 = -9 + 7 = -2.

Question 6: A circle has a radius of 5 inches. What's its approximate area?

a.)78.5 in b.)70 in c.)314 in d.)25 in

Answer:

a.)78.5 in *A=pi(r)^2

=3.14(5)^2

=3.14(25)

78.5

Question 7: Simplify 8x^2-3x+4xy-9x^2-5x-20xy

a.)5x^2+9xy b.)8x-9x^2 c.)-x^2-8x-16xy d.)8x+9x^2

Answer:

c.)-x^2-8x-16xy

Question 8: Seven more than 3 times a number is equal to 70. Find the number.

• 10
• 17
• 21
• 30

Answer:

• 21

• Translate to a mathematical expression and solve. 3x + 7 = 70 so 3x + 7 - 7 = 70 - 7 and 3x = 63.

Divide both sides by

• Therefore, x = 21.

Question 9: Solve by factoring x^4-16=0

a.)x=_+2 b.)x=_+4 c.)x=_+5 d.)x=_+8

Answer:

a.)x=_+2

Question 10: Solve the following inequality

2/3(6x-9)+4>5x+1 a.)x>6 b.)x<6 c.)x>-3 d.)x<-3

Answer:

d.)x<-3 *2/3(6x-9)+4>5x+1 4x-6+4>5x+1 4x-2>5x+1 -x>3 x<-3 Question 11: If a rectangle has a perimeter of 36 feet and is 4 feet wide, what's its area?a.)56 sq ft b.)128 sq ft c.)112 sq ft d.)16 sq ft

Answer:

a.)56 sq ft *A=lw P=2l+2w

=36-2(4)-36-8=28

Divide the answer by the 2 to determine the length of one side

28/2=14

Multiply the area by the with A=14x4= 56